A wheel made 300 revolutions at 31 2/7 revolutions per minute. How many minutes did it rotate?
Thanks
300 / 31.2857 = ?
300/ 31 2/7=
300/ 219/7=
300*7/219=
9 43/73 minutes
To find out how many minutes the wheel rotated, we can use the formula:
Minutes = Number of revolutions / Revolutions per minute
Given that the wheel made 300 revolutions and rotated at a rate of 31 2/7 revolutions per minute, we can plug these values into the formula:
Minutes = 300 revolutions / (31 2/7 revolutions per minute)
To divide a whole number by a mixed number, we need to first convert the mixed number into an improper fraction. In this case, the improper fraction equivalent of 31 2/7 is (7 * 31 + 2) / 7 = 219/7.
Now we can continue with the calculation:
Minutes = 300 revolutions / (219/7 revolutions per minute)
To divide by a fraction, we multiply by its reciprocal:
Minutes = 300 revolutions * (7 revolutions per minute / 219)
Multiplying straight across, we get:
Minutes = (300 * 7) / 219
Evaluating the numerator, we have:
Minutes = 2100 / 219
Dividing 2100 by 219, we find:
Minutes ≈ 9.589 seconds
Therefore, the wheel rotated for approximately 9.589 minutes.